Question

if a,b,c are in AP then find the arithmetic mean of a and c

Answer 1

Answer:

if a ,band c are in AP then

2b=a+c

in this question it is asked that what is the arithmetic mean of a and c

then

a+c/2 =2b/2

=b

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Answer 2

The arithmetic mean of a and c = b

Step-by-step explanation:

Given,

a b and c are in AP.

To find, the arithmetic mean of a and c = ?

a b and c are in AP.

∴ b - a = c - b

⇒ 2b = a + c          ........ (1)

The arithmetic mean of a and c

= $\dfrac{a+c}{2}$

Using equation (1), we get

= $\dfrac{2b}{2}$

= b

∴ The arithmetic mean of a and c = b

Thus, the arithmetic mean of a and c is b.